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010   $a9783319027470
010   $a3319027476
024 7 $a10.1007/978-3-319-02747-0
035   $a(OCoLC)878969978
035   $a(MiFhGG)GVRL6WCT
035   $a(CKB)3710000000074886
035   $a(MiAaPQ)EBC1593080
035   $a(MiFhGG)9783319027470
035   $a(DE-He213)978-3-319-02747-0
035   $a(EXLCZ)993710000000074886
100   $a20131129d2014      u|         0
101 0 $aeng
135   $aurun|---uuuua
181   $ctxt
182   $cc
183   $acr
200 10$aQuantum Variational Calculus /$fby Agnieszka B. Malinowska, Delfim F.M. Torres
205   $a1st ed. 2014.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014.
215   $a1 online resource (xviii, 84 pages) $cillustrations
225 1 $aSpringerBriefs in Control, Automation and Robotics,$x2192-6794
300   $a"ISSN: 2191-8112."
300   $a"ISSN: 2191-8120 (electronic)."
311 08$a9783319027463 
311 08$a3319027468 
320   $aIncludes bibliographical references and index.
327   $aThe Classical Calculus of Variations -- The Hahn Quantum Variational Calculus -- The Power Quantum Calculus -- Conclusion.
330   $aThis Brief puts together two subjects, quantum and variational calculi by considering variational problems involving Hahn quantum operators. The main advantage of its results is that they are able to deal with nondifferentiable (even discontinuous) functions, which are important in applications. Possible applications in economics are discussed. Economists model time as continuous or discrete. Although individual economic decisions are generally made at discrete time intervals, they may well be less than perfectly synchronized in ways discrete models postulate. On the other hand, the usual assumption that economic activity takes place continuously, is nothing else than a convenient abstraction that in many applications is far from reality. The Hahn quantum calculus helps to bridge the gap between the two families of models: continuous and discrete. Quantum Variational Calculus is self-contained and unified in presentation. It provides an opportunity for an introduction to the quantum calculus of variations for experienced researchers but may be used as an advanced textbook by graduate students and even ambitious undergraduates as well. The explanations in the book are detailed to capture the interest of the curious reader, and complete to provide the necessary background material needed to go further into the subject and explore the rich research literature, motivating further research activity in the area.
410  0$aSpringerBriefs in Control, Automation and Robotics,$x2192-6794
606   $aMathematical optimization
606   $aCalculus of variations
606   $aAutomatic control
606   $aEconometrics
606   $aQuantum theory
606   $aCalculus of Variations and Optimization
606   $aControl and Systems Theory
606   $aQuantitative Economics
606   $aQuantum Physics
615  0$aMathematical optimization.
615  0$aCalculus of variations.
615  0$aAutomatic control.
615  0$aEconometrics.
615  0$aQuantum theory.
615 14$aCalculus of Variations and Optimization.
615 24$aControl and Systems Theory.
615 24$aQuantitative Economics.
615 24$aQuantum Physics.
676   $a515.64
700   $aMalinowska$b Agnieszka B$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755557
702   $aTorres$b Delfim F. M.
801  0$bMiFhGG
801  1$bMiFhGG
906   $aBOOK
912   $a9910299475103321
996   $aQuantum Variational Calculus$92089178
997   $aUNINA